Modified (2+1)-dimensional displacement shallow water wave system and its approximate similarity solutions

被引：0

作者：

刘萍 ^{[1
]}

付培凯 ^{[2
]}

机构：

[1] Department of Electronic Engineering,University of Electronic Science and Technology of China Zhongshan Institute

[2] Academic Affairs Division,Zhongshan Polytechnic

来源：

Chinese Physics B | 2011年 / 09期

基金：

中国国家自然科学基金;

关键词：

modified (2+1)-dimensional displacement shallow water wave system; viscidity; approximate similarity solutions; Kadomtsev-Petviashvili equation;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法];

学科分类号：

0701 ; 070104 ;

摘要：

Recently,a new (2+1)-dimensional shallow water wave system,the (2+1)-dimensional displacement shallow water wave system (2DDSWWS),was constructed by applying the variational principle of the analytic mechanics in the Lagrange coordinates.The disadvantage is that fluid viscidity is not considered in the 2DDSWWS,which is the same as the famous Kadomtsev-Petviashvili equation and Korteweg-de Vries equation.Applying dimensional analysis,we modify the 2DDSWWS and add the term related to the fluid viscidity to the 2DDSWWS.The approximate similarity solutions of the modified 2DDSWWS (M2DDSWWS) is studied and four similarity solutions are obtained.For the perfect fluids,the coefficient of kinematic viscosity is zero,then the M2DDSWWS will degenerate to the 2DDSWWS.

引用

页码：34 / 40

页数：7

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